Unitary-process discrimination with error margin
Abstract
We investigate a discrimination scheme between unitary processes. By introducing a margin for the probability of erroneous guess, this scheme interpolates the two standard discrimination schemes: minimum-error and unambiguous discrimination. We present solutions for two cases. One is the case of two unitary processes with general prior probabilities. The other is the case with a group symmetry: the processes comprise a projective representation of a finite group. In the latter case, we found that unambiguous discrimination is a kind of "all or nothing": the maximum success probability is either 0 or 1. We also closely analyze how entanglement with an auxiliary system improves discrimination performance.
Keywords
Cite
@article{arxiv.0912.2610,
title = {Unitary-process discrimination with error margin},
author = {T. Hashimoto and A. Hayashi and M. Hayashi and M. Horibe},
journal= {arXiv preprint arXiv:0912.2610},
year = {2010}
}
Comments
9 pages, 3 figures, presentation improved, typos corrected, final version